Assume that x and y are functions of t, and x and y are related by the equation y= 4x+3.
(a) Given that dx/dt=1, find dy/dt when x=2.
(b) Given that dy/dt=4, find dx/dt when x=3.
Assume that x and y are functions of t, and x and y are related by the equation y= 4x+3.
Assume that x and y are both differentiable functions of t and are related by the equation 42 y= 22 +3 Find dy when 2 = 0, given dt de dt 2 when x = 0 Enter the exact answer. 11 dt
Suppose y = √(2x + 1), where x and y are functions of t. (a) If dx/dt = 3, find dy/dt when x = 4 (b) If dy/dt = 4, find dx/dt when x = 40.
1. -/5 POINTS LARCALC11 2.6.003. 0/2 Submissions Used Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt. y = x (a) Find dy/dt, given x = 1 and dx/dt = 8. dy/dt = (b) Find dx/dt, given x = 64 and dy/dt = 7. dx/dt =
Find dy/dt using the given values. y = x - 4x for x = 3, dx/dt = 2. y = [ X dt . dx/dt = 2. Enter an exact number
15. Suppose y= V5x+1 where x and y are functions of t. (a) If dv/dt = 10, find dy/dt when x= 3. 6) If dyldt = 7, find dx/dt when x = 7.
hw help Consider the equation exin(y)+5x +1=y? Find dy dx in terms of X and y. Evaluate dx at (x,y) = (0,1). Select the correct answer. -5 5 ООО 2 Suppose that 3 xy2 = x²y + y2 + 14. dy Use implicit differentiation to find an expression for in terms of both X and y. dx dy Now give the value of when x = 3 and y = 2 dx -36 13 3 0 24 41 о ....
Given that x and y are functions of time, find the indicated rate of change. Find dy/ dt when x equals = 2 and dx/ dt equals = −3, given that x3+y3=35.
Solve the given initial value problem. x(0) = 1 dx = 4x +y- e 3t, dt dy = 2x + 3y; dt y(0) = -3 The solution is X(t) = and y(t) =
7. Assume x and y are functions of t. Evaluate dy/dt for each of the following. (a) y2 - 8x3 = -55, 5= -4,2 = 2, y = 3 (b) = 2, r = 4, y = 2 (e) cell = 2 - In 2 + In 2, 6,2 = 2, y = 0
An LTI system is described by the following differential equation. Find the output when x(t)- u(t) and has the following initial conditions: y(0)= 1, (0) = 2 , and x(0)--I dy x dx +at + 4 y(t) = dt + x(t) Solution